The Importance of Probability and Variance in Texas Holdem
Article written by a friend;
The Importance of Probability and Variance in Texas Holdem
Many individuals sit down to play Texas Hold’em with a hope that they will get lucky and get a good hand. Although luck has something to do with winning the game, it will not save you in the long run. People who do not calculate probability and variance during the game are at a serious disadvantage. Playing free poker online can be another way of getting to the grips of the game before putting your money in.
Lots of people who play this game are unaware how easy it is to calculate probability; most of it is based on simple arithmetic. In many cases, the individual might look at the calculations as over their head and too complicated. However, it is best to understand exactly how the game works before attempting to calculate probability and variance. It is best to watch several games or play in games where people are not betting
real money.
Variance and probability in Texas Hold’em poker game is so important because it dictates what hands you will stay in and what hands you will not. Basically, a player who does not have many ‘outs,’ will fold their hand. Outs are possible cards that can hit the board to give you a
winning hand. For example, if you are holding a 7 (clubs) and 8 (clubs) and on the flop comes a 6 (clubs), a 9 (clubs), and a 2 (hearts), you have a total of 13 out of 52 outs. In this situation, you are ‘drawing’ for a flush or a straight; if a club hits the board on the river or the turn, you will have a flush. Also, if a 10 hits the board after the flop, you will have a straight. So, therefore, there are 9 other clubs in the deck (for your flush) and there are 4 10 cards. Now, the only problem with this is the fact that other players in the hand, or players that folded their hand, might have a card that you needed for your out – this you will never know. Although, as you become more proficient in the game, you will be able to read people’s bets to find out what they might have.
In Texas Hold’em, there are two types of players: ones who bank on luck and ones who bank on math. The former hope that a card they need will come up and they bet on luck. The latter, however, remains patient until the right amount of ‘outs’ present themselves. If the probability of such outs is not high, the second player will fold his/her hand. These players are much more disciplined and will wait patiently until the prime situation presents itself.
Counting and calculating probability is not the only way to play Texas Hold’em, but it is the safest. During play in any poker tournament, if one does not see the opportunity to bluff, he/she should play by probability and variance. Bluffing is effective, and done by many, but is very risky. If another player calls the bluff, and the bluffer has nothing, he/she can loose everything. But, bluffing, like all other modes of play, needs to be done at the right time. For instance, if the whole table is in the hand and people are raising, and you have a 2 – 7 off suite, it is a good idea to fold. However, if there are only three players in the hand and everyone is ‘limping’ in, it might be a good idea to throw a more substantial bet on the table and see how people react.
Whatever way one chooses to play Texas Hold’em poker, one has to remember that it is a game of deception, math, and luck. Luck will never take you far; it is the people whom calculate probability, stay in the hands they should, and fold the hands that they should who win the game in the long run.
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August 27th, 2009 at 5:36 pm
Nice article but a few things in the outs calculation example don’t make sense to me. Since a 5 would also make a straight wouldn’t it be 8 outs for the straight? Also in the example it says you have 13 outs, 9 clubs and 4 10s. But since the 10 of clubs is counted as both a club and a 10, wouldn’t it be 12 not 13? Am I missing something obvious and messing up my outs calculations(I always play an open ended straight flush as a 15 out hand)?
August 28th, 2009 at 8:33 am
Sorry Charlie, you’re exactly right… Sorry!